On the Gauge-Gravity Duality in Fractal Dimensions

Abstract

Despite its technical appeal, the main drawback of the gauge-gravity duality is that it works with a negative cosmological constant, in manifest contradiction with observations. We point out here that a 2D spacetime endowed with minimal fractality acquires a positive cosmological constant upon combining the gauge-gravity duality with the dimensional reduction conjecture. When applied to the evolution of the primordial Universe, this finding hints to an unforeseen unification of Dark Energy and Dark Matter into a single framework.